The Semi-Relativistic Equation Via the Shifted-l Expansion Technique

Details The Semi-Relativistic Equation Via the Shifted-l Expansion Technique The Semi-Relativistic Equation Via the Shifted-l Expansion Technique

2000-04-20

arxiv.org/abs/math-ph/0004026v1

Int. J. Mod. Phys. A16 (2001) 2195-2204

Physics

Mathematical Physics

13 pages, no figures

Scientific paper

10.1142/S0217751X01003688

The semi-relativistic equation is cast into a second-order Schrodinger-like equation with the inclusion of relativistic corrections up to order (v/c)^2. The resulting equation is solved via the shifted-l expansion technique, which has been recently developed to get eigenvalues of relativistic and non-relativistic wave equations. The Coulomb, Oscillator, and the Coulomb-plus-linear potential used in qq-bar phenomenology are tested. The method gives quite accurate results over a wide range of r and any choice of quantum numbers n and l. However, a comparison of the present work with those of Lucha et al. and Nickisch et al. will serve as a test of this approach.

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